کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
389585 | 661158 | 2014 | 18 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Extended gradual interval (EGI) arithmetic and its application to gradual weighted averages Extended gradual interval (EGI) arithmetic and its application to gradual weighted averages](/preview/png/389585.png)
We combine the concepts of gradual numbers and Kaucher arithmetic on extended intervals to define extended gradual interval (EGI) arithmetic in which subtraction and division operators are the inverse operators of addition and multiplication, respectively. Use of the proposed EGI operators can lead to non-monotonic gradual intervals that are not fuzzy subsets and cannot be represented by fuzzy intervals. In this context and when fuzzy representation results are desired, an approximation strategy is proposed to determine the nearest fuzzy interval of the non-monotonic gradual interval obtained. This approximation is viewed as an interval regression problem according to an optimization procedure. The EGI operators are applied to the common fuzzy weighted average (FWA) leading to a gradual weighted average (GWA).
Journal: Fuzzy Sets and Systems - Volume 257, 16 December 2014, Pages 67–84